Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂xC₄xQ₈

Direct product G=NxQ with N=C₇ and Q=C₂xC₄xQ₈

		d	ρ	Label	ID
Q₈xC₂xC₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₇ and Q=C₂xC₄xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₂xC₄xQ₈) = C₂xC₄xDic₁₄	φ: C₂xC₄xQ₈/C₂xC₄² → C₂ ⊆ Aut C₇	448		C7:1(C2xC4xQ8)	448,920
C₇:₂(C₂xC₄xQ₈) = C₂xDic₇:₃Q₈	φ: C₂xC₄xQ₈/C₂xC₄:C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2xC4xQ8)	448,949
C₇:₃(C₂xC₄xQ₈) = C₄xQ₈xD₇	φ: C₂xC₄xQ₈/C₄xQ₈ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4xQ8)	448,1024
C₇:₄(C₂xC₄xQ₈) = C₂xQ₈xDic₇	φ: C₂xC₄xQ₈/C₂²xQ₈ → C₂ ⊆ Aut C₇	448		C7:4(C2xC4xQ8)	448,1264

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